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Finding the Fourth Proportional to 10,871.79, 15,002.64 and 6,156.06

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Solution

The fourth proportional to 10,871.79, 15,002.64 and 6,156.06 is: 8,495.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.79 : 15,002.64 = 6,156.06 : x
  2. Step 2: Convert to fraction form
    10,871.79/15,002.64 = 6,156.06/x
  3. Step 3: Cross multiply
    10,871.79x = 15,002.64 × 6,156.06
  4. Step 4: Simplify right side
    10,871.79x = 92,357,152.00
  5. Step 5: Solve for x
    x = 92,357,152.00/10,871.79
  6. Step 6: Final answer
    x = 8,495.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.