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Finding the Fourth Proportional to 7,152.74, 9,870.63 and 4,008.86

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Solution

The fourth proportional to 7,152.74, 9,870.63 and 4,008.86 is: 5,532.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.74 : 9,870.63 = 4,008.86 : x
  2. Step 2: Convert to fraction form
    7,152.74/9,870.63 = 4,008.86/x
  3. Step 3: Cross multiply
    7,152.74x = 9,870.63 × 4,008.86
  4. Step 4: Simplify right side
    7,152.74x = 39,569,973.78
  5. Step 5: Solve for x
    x = 39,569,973.78/7,152.74
  6. Step 6: Final answer
    x = 5,532.14

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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.