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Finding the Fourth Proportional to 7,397.16, 11,095.74 and 4,317

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Solution

The fourth proportional to 7,397.16, 11,095.74 and 4,317 is: 6,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.16 : 11,095.74 = 4,317 : x
  2. Step 2: Convert to fraction form
    7,397.16/11,095.74 = 4,317/x
  3. Step 3: Cross multiply
    7,397.16x = 11,095.74 × 4,317
  4. Step 4: Simplify right side
    7,397.16x = 47,900,309.58
  5. Step 5: Solve for x
    x = 47,900,309.58/7,397.16
  6. Step 6: Final answer
    x = 6,475.50

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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.