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Finding the Fourth Proportional to 7,535.90, 10,400.54 and 4,706.17

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Solution

The fourth proportional to 7,535.90, 10,400.54 and 4,706.17 is: 6,495.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,535.90 : 10,400.54 = 4,706.17 : x
  2. Step 2: Convert to fraction form
    7,535.90/10,400.54 = 4,706.17/x
  3. Step 3: Cross multiply
    7,535.90x = 10,400.54 × 4,706.17
  4. Step 4: Simplify right side
    7,535.90x = 48,946,659.80
  5. Step 5: Solve for x
    x = 48,946,659.80/7,535.90
  6. Step 6: Final answer
    x = 6,495.13

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