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Finding the Fourth Proportional to 10,316.10, 14,232.93 and 6,065.79

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Solution

The fourth proportional to 10,316.10, 14,232.93 and 6,065.79 is: 8,368.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,316.10 : 14,232.93 = 6,065.79 : x
  2. Step 2: Convert to fraction form
    10,316.10/14,232.93 = 6,065.79/x
  3. Step 3: Cross multiply
    10,316.10x = 14,232.93 × 6,065.79
  4. Step 4: Simplify right side
    10,316.10x = 86,333,964.46
  5. Step 5: Solve for x
    x = 86,333,964.46/10,316.10
  6. Step 6: Final answer
    x = 8,368.86

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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.