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Finding the Fourth Proportional to 7,784.51, 10,715.36 and 6,788.00

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Solution

The fourth proportional to 7,784.51, 10,715.36 and 6,788.00 is: 9,343.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,784.51 : 10,715.36 = 6,788.00 : x
  2. Step 2: Convert to fraction form
    7,784.51/10,715.36 = 6,788.00/x
  3. Step 3: Cross multiply
    7,784.51x = 10,715.36 × 6,788.00
  4. Step 4: Simplify right side
    7,784.51x = 72,735,856.53
  5. Step 5: Solve for x
    x = 72,735,856.53/7,784.51
  6. Step 6: Final answer
    x = 9,343.67

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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.