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Finding the Fourth Proportional to 11,547.96, 15,931.82 and 7,297.80

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Solution

The fourth proportional to 11,547.96, 15,931.82 and 7,297.80 is: 10,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,547.96 : 15,931.82 = 7,297.80 : x
  2. Step 2: Convert to fraction form
    11,547.96/15,931.82 = 7,297.80/x
  3. Step 3: Cross multiply
    11,547.96x = 15,931.82 × 7,297.80
  4. Step 4: Simplify right side
    11,547.96x = 116,267,236.00
  5. Step 5: Solve for x
    x = 116,267,236.00/11,547.96
  6. Step 6: Final answer
    x = 10,068.21

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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.