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Finding the Fourth Proportional to 7,569.59, 10,445.90 and 4,212.31

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Solution

The fourth proportional to 7,569.59, 10,445.90 and 4,212.31 is: 5,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,569.59 : 10,445.90 = 4,212.31 : x
  2. Step 2: Convert to fraction form
    7,569.59/10,445.90 = 4,212.31/x
  3. Step 3: Cross multiply
    7,569.59x = 10,445.90 × 4,212.31
  4. Step 4: Simplify right side
    7,569.59x = 44,001,316.80
  5. Step 5: Solve for x
    x = 44,001,316.80/7,569.59
  6. Step 6: Final answer
    x = 5,812.91

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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.