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Finding the Fourth Proportional to 10,475.95, 14,457.06 and 5,696.17

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Solution

The fourth proportional to 10,475.95, 14,457.06 and 5,696.17 is: 7,860.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.95 : 14,457.06 = 5,696.17 : x
  2. Step 2: Convert to fraction form
    10,475.95/14,457.06 = 5,696.17/x
  3. Step 3: Cross multiply
    10,475.95x = 14,457.06 × 5,696.17
  4. Step 4: Simplify right side
    10,475.95x = 82,349,871.46
  5. Step 5: Solve for x
    x = 82,349,871.46/10,475.95
  6. Step 6: Final answer
    x = 7,860.85

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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.