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Finding the Fourth Proportional to 7,152.71, 9,870.71 and 4,008.89

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Solution

The fourth proportional to 7,152.71, 9,870.71 and 4,008.89 is: 5,532.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.71 : 9,870.71 = 4,008.89 : x
  2. Step 2: Convert to fraction form
    7,152.71/9,870.71 = 4,008.89/x
  3. Step 3: Cross multiply
    7,152.71x = 9,870.71 × 4,008.89
  4. Step 4: Simplify right side
    7,152.71x = 39,570,521.21
  5. Step 5: Solve for x
    x = 39,570,521.21/7,152.71
  6. Step 6: Final answer
    x = 5,532.25

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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.