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Finding the Fourth Proportional to 11,312.10, 15,614.28 and 6,597.27

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Solution

The fourth proportional to 11,312.10, 15,614.28 and 6,597.27 is: 9,106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.10 : 15,614.28 = 6,597.27 : x
  2. Step 2: Convert to fraction form
    11,312.10/15,614.28 = 6,597.27/x
  3. Step 3: Cross multiply
    11,312.10x = 15,614.28 × 6,597.27
  4. Step 4: Simplify right side
    11,312.10x = 103,011,621.02
  5. Step 5: Solve for x
    x = 103,011,621.02/11,312.10
  6. Step 6: Final answer
    x = 9,106.32

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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.