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Finding the Fourth Proportional to 10,000.24, 14,988.20 and 7,527.10

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Solution

The fourth proportional to 10,000.24, 14,988.20 and 7,527.10 is: 11,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.24 : 14,988.20 = 7,527.10 : x
  2. Step 2: Convert to fraction form
    10,000.24/14,988.20 = 7,527.10/x
  3. Step 3: Cross multiply
    10,000.24x = 14,988.20 × 7,527.10
  4. Step 4: Simplify right side
    10,000.24x = 112,817,680.22
  5. Step 5: Solve for x
    x = 112,817,680.22/10,000.24
  6. Step 6: Final answer
    x = 11,281.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.