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Finding the Fourth Proportional to 12,953.71, 17,875.74 and 7,852.25

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Solution

The fourth proportional to 12,953.71, 17,875.74 and 7,852.25 is: 10,835.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,953.71 : 17,875.74 = 7,852.25 : x
  2. Step 2: Convert to fraction form
    12,953.71/17,875.74 = 7,852.25/x
  3. Step 3: Cross multiply
    12,953.71x = 17,875.74 × 7,852.25
  4. Step 4: Simplify right side
    12,953.71x = 140,364,779.42
  5. Step 5: Solve for x
    x = 140,364,779.42/12,953.71
  6. Step 6: Final answer
    x = 10,835.87

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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.