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Finding the Fourth Proportional to 7,258.64, 10,007.52 and 4,701.85

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Solution

The fourth proportional to 7,258.64, 10,007.52 and 4,701.85 is: 6,482.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,258.64 : 10,007.52 = 4,701.85 : x
  2. Step 2: Convert to fraction form
    7,258.64/10,007.52 = 4,701.85/x
  3. Step 3: Cross multiply
    7,258.64x = 10,007.52 × 4,701.85
  4. Step 4: Simplify right side
    7,258.64x = 47,053,857.91
  5. Step 5: Solve for x
    x = 47,053,857.91/7,258.64
  6. Step 6: Final answer
    x = 6,482.46

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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.