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Finding the Fourth Proportional to 10,466.40, 15,699.60 and 5,282.40

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Solution

The fourth proportional to 10,466.40, 15,699.60 and 5,282.40 is: 7,923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,466.40 : 15,699.60 = 5,282.40 : x
  2. Step 2: Convert to fraction form
    10,466.40/15,699.60 = 5,282.40/x
  3. Step 3: Cross multiply
    10,466.40x = 15,699.60 × 5,282.40
  4. Step 4: Simplify right side
    10,466.40x = 82,931,567.04
  5. Step 5: Solve for x
    x = 82,931,567.04/10,466.40
  6. Step 6: Final answer
    x = 7,923.60

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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.