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Finding the Fourth Proportional to 11,312.51, 15,611.69 and 6,835.40

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Solution

The fourth proportional to 11,312.51, 15,611.69 and 6,835.40 is: 9,433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,312.51 : 15,611.69 = 6,835.40 : x
  2. Step 2: Convert to fraction form
    11,312.51/15,611.69 = 6,835.40/x
  3. Step 3: Cross multiply
    11,312.51x = 15,611.69 × 6,835.40
  4. Step 4: Simplify right side
    11,312.51x = 106,712,192.77
  5. Step 5: Solve for x
    x = 106,712,192.77/11,312.51
  6. Step 6: Final answer
    x = 9,433.11

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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.