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Finding the Fourth Proportional to 7,152.48, 9,874.80 and 5,666.40

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Solution

The fourth proportional to 7,152.48, 9,874.80 and 5,666.40 is: 7,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.48 : 9,874.80 = 5,666.40 : x
  2. Step 2: Convert to fraction form
    7,152.48/9,874.80 = 5,666.40/x
  3. Step 3: Cross multiply
    7,152.48x = 9,874.80 × 5,666.40
  4. Step 4: Simplify right side
    7,152.48x = 55,954,566.72
  5. Step 5: Solve for x
    x = 55,954,566.72/7,152.48
  6. Step 6: Final answer
    x = 7,823.10

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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.