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Finding the Fourth Proportional to 8,875.20, 12,240 and 7,106.16

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Solution

The fourth proportional to 8,875.20, 12,240 and 7,106.16 is: 9,800.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,875.20 : 12,240 = 7,106.16 : x
  2. Step 2: Convert to fraction form
    8,875.20/12,240 = 7,106.16/x
  3. Step 3: Cross multiply
    8,875.20x = 12,240 × 7,106.16
  4. Step 4: Simplify right side
    8,875.20x = 86,979,398.40
  5. Step 5: Solve for x
    x = 86,979,398.40/8,875.20
  6. Step 6: Final answer
    x = 9,800.27

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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.