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Finding the Fourth Proportional to 10,886.16, 16,332.09 and 4,646.52

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Solution

The fourth proportional to 10,886.16, 16,332.09 and 4,646.52 is: 6,971.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,886.16 : 16,332.09 = 4,646.52 : x
  2. Step 2: Convert to fraction form
    10,886.16/16,332.09 = 4,646.52/x
  3. Step 3: Cross multiply
    10,886.16x = 16,332.09 × 4,646.52
  4. Step 4: Simplify right side
    10,886.16x = 75,887,382.83
  5. Step 5: Solve for x
    x = 75,887,382.83/10,886.16
  6. Step 6: Final answer
    x = 6,971.00

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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.