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Finding the Fourth Proportional to 10,632.16, 14,669.76 and 6,904

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Solution

The fourth proportional to 10,632.16, 14,669.76 and 6,904 is: 9,525.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,632.16 : 14,669.76 = 6,904 : x
  2. Step 2: Convert to fraction form
    10,632.16/14,669.76 = 6,904/x
  3. Step 3: Cross multiply
    10,632.16x = 14,669.76 × 6,904
  4. Step 4: Simplify right side
    10,632.16x = 101,280,023.04
  5. Step 5: Solve for x
    x = 101,280,023.04/10,632.16
  6. Step 6: Final answer
    x = 9,525.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.