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Finding the Fourth Proportional to 7,152.18, 10,720.98 and 6,521.60

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Solution

The fourth proportional to 7,152.18, 10,720.98 and 6,521.60 is: 9,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,152.18 : 10,720.98 = 6,521.60 : x
  2. Step 2: Convert to fraction form
    7,152.18/10,720.98 = 6,521.60/x
  3. Step 3: Cross multiply
    7,152.18x = 10,720.98 × 6,521.60
  4. Step 4: Simplify right side
    7,152.18x = 69,917,943.17
  5. Step 5: Solve for x
    x = 69,917,943.17/7,152.18
  6. Step 6: Final answer
    x = 9,775.75

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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.