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Finding the Fourth Proportional to 10,527.56, 15,792.18 and 6,145.46

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Solution

The fourth proportional to 10,527.56, 15,792.18 and 6,145.46 is: 9,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,527.56 : 15,792.18 = 6,145.46 : x
  2. Step 2: Convert to fraction form
    10,527.56/15,792.18 = 6,145.46/x
  3. Step 3: Cross multiply
    10,527.56x = 15,792.18 × 6,145.46
  4. Step 4: Simplify right side
    10,527.56x = 97,050,210.50
  5. Step 5: Solve for x
    x = 97,050,210.50/10,527.56
  6. Step 6: Final answer
    x = 9,218.68

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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.