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Finding the Fourth Proportional to 10,696.79, 14,762.13 and 6,160.16

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Solution

The fourth proportional to 10,696.79, 14,762.13 and 6,160.16 is: 8,501.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.79 : 14,762.13 = 6,160.16 : x
  2. Step 2: Convert to fraction form
    10,696.79/14,762.13 = 6,160.16/x
  3. Step 3: Cross multiply
    10,696.79x = 14,762.13 × 6,160.16
  4. Step 4: Simplify right side
    10,696.79x = 90,937,008.93
  5. Step 5: Solve for x
    x = 90,937,008.93/10,696.79
  6. Step 6: Final answer
    x = 8,501.34

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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.