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Finding the Fourth Proportional to 10,804.68, 14,911.02 and 6,089.40

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Solution

The fourth proportional to 10,804.68, 14,911.02 and 6,089.40 is: 8,403.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,804.68 : 14,911.02 = 6,089.40 : x
  2. Step 2: Convert to fraction form
    10,804.68/14,911.02 = 6,089.40/x
  3. Step 3: Cross multiply
    10,804.68x = 14,911.02 × 6,089.40
  4. Step 4: Simplify right side
    10,804.68x = 90,799,165.19
  5. Step 5: Solve for x
    x = 90,799,165.19/10,804.68
  6. Step 6: Final answer
    x = 8,403.69

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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.