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Finding the Fourth Proportional to 10,656.16, 14,707.92 and 6,923.68

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Solution

The fourth proportional to 10,656.16, 14,707.92 and 6,923.68 is: 9,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,656.16 : 14,707.92 = 6,923.68 : x
  2. Step 2: Convert to fraction form
    10,656.16/14,707.92 = 6,923.68/x
  3. Step 3: Cross multiply
    10,656.16x = 14,707.92 × 6,923.68
  4. Step 4: Simplify right side
    10,656.16x = 101,832,931.55
  5. Step 5: Solve for x
    x = 101,832,931.55/10,656.16
  6. Step 6: Final answer
    x = 9,556.25

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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.