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Finding the Fourth Proportional to 11,803, 16,294.88 and 7,829.52

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Solution

The fourth proportional to 11,803, 16,294.88 and 7,829.52 is: 10,809.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803 : 16,294.88 = 7,829.52 : x
  2. Step 2: Convert to fraction form
    11,803/16,294.88 = 7,829.52/x
  3. Step 3: Cross multiply
    11,803x = 16,294.88 × 7,829.52
  4. Step 4: Simplify right side
    11,803x = 127,581,088.86
  5. Step 5: Solve for x
    x = 127,581,088.86/11,803
  6. Step 6: Final answer
    x = 10,809.21

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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.