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Finding the Fourth Proportional to 10,557, 15,830.76 and 5,625.48

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Solution

The fourth proportional to 10,557, 15,830.76 and 5,625.48 is: 8,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,557 : 15,830.76 = 5,625.48 : x
  2. Step 2: Convert to fraction form
    10,557/15,830.76 = 5,625.48/x
  3. Step 3: Cross multiply
    10,557x = 15,830.76 × 5,625.48
  4. Step 4: Simplify right side
    10,557x = 89,055,623.76
  5. Step 5: Solve for x
    x = 89,055,623.76/10,557
  6. Step 6: Final answer
    x = 8,435.69

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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.