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Finding the Fourth Proportional to 10,345.96, 14,277.12 and 5,870.12

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Solution

The fourth proportional to 10,345.96, 14,277.12 and 5,870.12 is: 8,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,345.96 : 14,277.12 = 5,870.12 : x
  2. Step 2: Convert to fraction form
    10,345.96/14,277.12 = 5,870.12/x
  3. Step 3: Cross multiply
    10,345.96x = 14,277.12 × 5,870.12
  4. Step 4: Simplify right side
    10,345.96x = 83,808,407.65
  5. Step 5: Solve for x
    x = 83,808,407.65/10,345.96
  6. Step 6: Final answer
    x = 8,100.60

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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.