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Finding the Fourth Proportional to 10,838.51, 14,956.95 and 6,058.15

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Solution

The fourth proportional to 10,838.51, 14,956.95 and 6,058.15 is: 8,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.51 : 14,956.95 = 6,058.15 : x
  2. Step 2: Convert to fraction form
    10,838.51/14,956.95 = 6,058.15/x
  3. Step 3: Cross multiply
    10,838.51x = 14,956.95 × 6,058.15
  4. Step 4: Simplify right side
    10,838.51x = 90,611,446.64
  5. Step 5: Solve for x
    x = 90,611,446.64/10,838.51
  6. Step 6: Final answer
    x = 8,360.14

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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.