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Finding the Fourth Proportional to 7,870.64, 10,858.05 and 4,725

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Solution

The fourth proportional to 7,870.64, 10,858.05 and 4,725 is: 6,518.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,870.64 : 10,858.05 = 4,725 : x
  2. Step 2: Convert to fraction form
    7,870.64/10,858.05 = 4,725/x
  3. Step 3: Cross multiply
    7,870.64x = 10,858.05 × 4,725
  4. Step 4: Simplify right side
    7,870.64x = 51,304,286.25
  5. Step 5: Solve for x
    x = 51,304,286.25/7,870.64
  6. Step 6: Final answer
    x = 6,518.44

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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.