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Finding the Fourth Proportional to 10,501.60, 15,730.80 and 7,218.40

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Solution

The fourth proportional to 10,501.60, 15,730.80 and 7,218.40 is: 10,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,501.60 : 15,730.80 = 7,218.40 : x
  2. Step 2: Convert to fraction form
    10,501.60/15,730.80 = 7,218.40/x
  3. Step 3: Cross multiply
    10,501.60x = 15,730.80 × 7,218.40
  4. Step 4: Simplify right side
    10,501.60x = 113,551,206.72
  5. Step 5: Solve for x
    x = 113,551,206.72/10,501.60
  6. Step 6: Final answer
    x = 10,812.75

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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.