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Finding the Fourth Proportional to 10,797.94, 14,905.02 and 6,547.29

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Solution

The fourth proportional to 10,797.94, 14,905.02 and 6,547.29 is: 9,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.94 : 14,905.02 = 6,547.29 : x
  2. Step 2: Convert to fraction form
    10,797.94/14,905.02 = 6,547.29/x
  3. Step 3: Cross multiply
    10,797.94x = 14,905.02 × 6,547.29
  4. Step 4: Simplify right side
    10,797.94x = 97,587,488.40
  5. Step 5: Solve for x
    x = 97,587,488.40/10,797.94
  6. Step 6: Final answer
    x = 9,037.60

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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.