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Finding the Fourth Proportional to 11,345.04, 15,655.68 and 6,309

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Solution

The fourth proportional to 11,345.04, 15,655.68 and 6,309 is: 8,706.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,345.04 : 15,655.68 = 6,309 : x
  2. Step 2: Convert to fraction form
    11,345.04/15,655.68 = 6,309/x
  3. Step 3: Cross multiply
    11,345.04x = 15,655.68 × 6,309
  4. Step 4: Simplify right side
    11,345.04x = 98,771,685.12
  5. Step 5: Solve for x
    x = 98,771,685.12/11,345.04
  6. Step 6: Final answer
    x = 8,706.16

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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.