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Finding the Fourth Proportional to 10,365.12, 15,547.54 and 6,870.76

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Solution

The fourth proportional to 10,365.12, 15,547.54 and 6,870.76 is: 10,306.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,365.12 : 15,547.54 = 6,870.76 : x
  2. Step 2: Convert to fraction form
    10,365.12/15,547.54 = 6,870.76/x
  3. Step 3: Cross multiply
    10,365.12x = 15,547.54 × 6,870.76
  4. Step 4: Simplify right side
    10,365.12x = 106,823,415.93
  5. Step 5: Solve for x
    x = 106,823,415.93/10,365.12
  6. Step 6: Final answer
    x = 10,306.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.