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Finding the Fourth Proportional to 7,258.10, 10,023.09 and 6,566.90

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Solution

The fourth proportional to 7,258.10, 10,023.09 and 6,566.90 is: 9,068.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.10 : 10,023.09 = 6,566.90 : x
  2. Step 2: Convert to fraction form
    7,258.10/10,023.09 = 6,566.90/x
  3. Step 3: Cross multiply
    7,258.10x = 10,023.09 × 6,566.90
  4. Step 4: Simplify right side
    7,258.10x = 65,820,629.72
  5. Step 5: Solve for x
    x = 65,820,629.72/7,258.10
  6. Step 6: Final answer
    x = 9,068.58

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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.