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Finding the Fourth Proportional to 10,607.95, 15,888.53 and 6,646.31

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Solution

The fourth proportional to 10,607.95, 15,888.53 and 6,646.31 is: 9,954.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,607.95 : 15,888.53 = 6,646.31 : x
  2. Step 2: Convert to fraction form
    10,607.95/15,888.53 = 6,646.31/x
  3. Step 3: Cross multiply
    10,607.95x = 15,888.53 × 6,646.31
  4. Step 4: Simplify right side
    10,607.95x = 105,600,095.82
  5. Step 5: Solve for x
    x = 105,600,095.82/10,607.95
  6. Step 6: Final answer
    x = 9,954.81

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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.