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Finding the Fourth Proportional to 10,534.34, 15,805.76 and 4,686.95

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Solution

The fourth proportional to 10,534.34, 15,805.76 and 4,686.95 is: 7,032.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,534.34 : 15,805.76 = 4,686.95 : x
  2. Step 2: Convert to fraction form
    10,534.34/15,805.76 = 4,686.95/x
  3. Step 3: Cross multiply
    10,534.34x = 15,805.76 × 4,686.95
  4. Step 4: Simplify right side
    10,534.34x = 74,080,704.37
  5. Step 5: Solve for x
    x = 74,080,704.37/10,534.34
  6. Step 6: Final answer
    x = 7,032.31

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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.