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Finding the Fourth Proportional to 6,588.40, 9,882.60 and 4,752.40

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Solution

The fourth proportional to 6,588.40, 9,882.60 and 4,752.40 is: 7,128.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,588.40 : 9,882.60 = 4,752.40 : x
  2. Step 2: Convert to fraction form
    6,588.40/9,882.60 = 4,752.40/x
  3. Step 3: Cross multiply
    6,588.40x = 9,882.60 × 4,752.40
  4. Step 4: Simplify right side
    6,588.40x = 46,966,068.24
  5. Step 5: Solve for x
    x = 46,966,068.24/6,588.40
  6. Step 6: Final answer
    x = 7,128.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.