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Finding the Fourth Proportional to 15,807, 23,710.54 and 4,863

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Solution

The fourth proportional to 15,807, 23,710.54 and 4,863 is: 7,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,807 : 23,710.54 = 4,863 : x
  2. Step 2: Convert to fraction form
    15,807/23,710.54 = 4,863/x
  3. Step 3: Cross multiply
    15,807x = 23,710.54 × 4,863
  4. Step 4: Simplify right side
    15,807x = 115,304,356.02
  5. Step 5: Solve for x
    x = 115,304,356.02/15,807
  6. Step 6: Final answer
    x = 7,294.51

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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.