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Finding the Fourth Proportional to 10,117.60, 13,956.26 and 7,875.93

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Solution

The fourth proportional to 10,117.60, 13,956.26 and 7,875.93 is: 10,864.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.60 : 13,956.26 = 7,875.93 : x
  2. Step 2: Convert to fraction form
    10,117.60/13,956.26 = 7,875.93/x
  3. Step 3: Cross multiply
    10,117.60x = 13,956.26 × 7,875.93
  4. Step 4: Simplify right side
    10,117.60x = 109,918,526.82
  5. Step 5: Solve for x
    x = 109,918,526.82/10,117.60
  6. Step 6: Final answer
    x = 10,864.09

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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.