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Finding the Fourth Proportional to 8,702.04, 13,053 and 2,462.16

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Solution

The fourth proportional to 8,702.04, 13,053 and 2,462.16 is: 3,693.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.04 : 13,053 = 2,462.16 : x
  2. Step 2: Convert to fraction form
    8,702.04/13,053 = 2,462.16/x
  3. Step 3: Cross multiply
    8,702.04x = 13,053 × 2,462.16
  4. Step 4: Simplify right side
    8,702.04x = 32,138,574.48
  5. Step 5: Solve for x
    x = 32,138,574.48/8,702.04
  6. Step 6: Final answer
    x = 3,693.22

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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.