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Finding the Fourth Proportional to 10,513.61, 14,509.80 and 7,856.40

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Solution

The fourth proportional to 10,513.61, 14,509.80 and 7,856.40 is: 10,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.61 : 14,509.80 = 7,856.40 : x
  2. Step 2: Convert to fraction form
    10,513.61/14,509.80 = 7,856.40/x
  3. Step 3: Cross multiply
    10,513.61x = 14,509.80 × 7,856.40
  4. Step 4: Simplify right side
    10,513.61x = 113,994,792.72
  5. Step 5: Solve for x
    x = 113,994,792.72/10,513.61
  6. Step 6: Final answer
    x = 10,842.60

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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.