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Finding the Fourth Proportional to 10,574.35, 14,588.45 and 6,797.00

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Solution

The fourth proportional to 10,574.35, 14,588.45 and 6,797.00 is: 9,377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.35 : 14,588.45 = 6,797.00 : x
  2. Step 2: Convert to fraction form
    10,574.35/14,588.45 = 6,797.00/x
  3. Step 3: Cross multiply
    10,574.35x = 14,588.45 × 6,797.00
  4. Step 4: Simplify right side
    10,574.35x = 99,157,621.71
  5. Step 5: Solve for x
    x = 99,157,621.71/10,574.35
  6. Step 6: Final answer
    x = 9,377.19

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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.