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Finding the Fourth Proportional to 11,263.16, 15,535.86 and 6,783.68

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Solution

The fourth proportional to 11,263.16, 15,535.86 and 6,783.68 is: 9,357.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,263.16 : 15,535.86 = 6,783.68 : x
  2. Step 2: Convert to fraction form
    11,263.16/15,535.86 = 6,783.68/x
  3. Step 3: Cross multiply
    11,263.16x = 15,535.86 × 6,783.68
  4. Step 4: Simplify right side
    11,263.16x = 105,390,302.76
  5. Step 5: Solve for x
    x = 105,390,302.76/11,263.16
  6. Step 6: Final answer
    x = 9,357.08

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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.